What is the value of (58^2)?
Answer and explanation
Correct answer: 3364
Here, \(58^2\) means \(58 \times 58\). Using \((60-2)^2 = 60^2 - 2\times60\times2 + 2^2 = 3600 - 240 + 4 = 3364\), we get 3364. Hence, the correct answer is 3364. An option such as 3354 can result from an arithmetic error in multiplication or subtraction. Exam tip: For numbers close to 60, use the identity \((a-b)^2\) to find squares quickly.
Frequently asked questions
What is the correct answer to this question?
3364
Why is this the correct answer?
Here, \(58^2\) means \(58 \times 58\). Using \((60-2)^2 = 60^2 - 2\times60\times2 + 2^2 = 3600 - 240 + 4 = 3364\), we get 3364. Hence, the correct answer is 3364. An option such as 3354 can result from an arithmetic error in multiplication or subtraction. Exam tip: For numbers close to 60, use the identity \((a-b)^2\) to find squares quickly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
